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Longest Common Subsequence for Three Strings

Write a function `lcs_of_three(X, Y, Z)` that computes the length of the longest common subsequence (LCS) among three given strings `X`, `Y`, and `Z`.

The LCS of three strings is the longest sequence that appears in all three strings in the same order, but not necessarily consecutively.

#### Example Usage
```python [main.nopy]
print(lcs_of_three("AGGT12", "12TXAYB", "12XBA"))  # Output: 2
print(lcs_of_three("abcd1e2", "bc12ea", "bd1ea"))  # Output: 3
```

#### Constraints
- The input strings can contain any printable characters.
- The function should return an integer representing the length of the LCS.
def lcs_of_three(X, Y, Z):
    """
    Calculate the length of the longest common subsequence among three strings.

    Args:
        X (str): The first string.
        Y (str): The second string.
        Z (str): The third string.

    Returns:
        int: The length of the longest common subsequence.
    """
    # Initialize lengths of the strings
    m, n, o = len(X), len(Y), len(Z)

    # Placeholder for the solution
    pass
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